449651220480 has 2016 divisors, whose sum is σ = 2069787852288. Its totient is φ = 89181388800.

The previous prime is 449651220443. The next prime is 449651220517. The reversal of 449651220480 is 84022156944.

It is a happy number.

449651220480 is a `hidden beast` number, since 4 + 4 + 96 + 512 + 2 + 0 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (449651220443) and next prime (449651220517).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6159605724 + ... + 6159605796.

Almost surely, 2^449651220480 is an apocalyptic number.

449651220480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449651220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034893926144).

449651220480 is an abundant number, since it is smaller than the sum of its proper divisors (1620136631808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

449651220480 is a wasteful number, since it uses less digits than its factorization.

449651220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 449651220480 in words is "four hundred forty-nine billion, six hundred fifty-one million, two hundred twenty thousand, four hundred eighty".